Review HW in your group.

One question per group

Airplane problem

• Discuss this in your group and gather any thoughts you may have about solving the problem

THE LAW OF SINES:

Perform the investigation in your group.

You have 15 minutes

This relationship is helpful in allowing you to solve many problems involving oblique triangles.

Let’s try:

Towers A, B, and C are located in a national forest. From Tower B, the angle between Towers A and C is 53.3, and from Tower C the angle between Towers A and B is 46.7. The distance between Towers A and B is 4084 m. A lake between Towers A and C make it difficult to measure the distance directly. What is that distance?

Thus, we have the Law of Sines

OR

Find the missing parts:

In triangle ABC, we know that angle A is 52.5 and angle C is 72.6. Also, c is 18 units. Can you find a?

Other times we can use the Law of Sines?

If we know two side lengths and the measure of the angle opposite one of the sides.

Sometimes we have an ambiguous case.It presents two possible solutions. Does anyone know why?

Nice chart from your book. SEC 13.4: p. 727

EX.

• Tara and Yacin find a map that they think will lead them to a buried treasure. The map instructs them to start at the 47 fork in the river. They need to follow the line along the southern branch for 200m, then walk to a point on the northern branch that’s 170 m away. Where along the northern branch should they dig for that treasure?

Homework: Handout 3 - 8